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Algorithms

Concrete quantum algorithm examples built with Qamomile.

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In this section: algorithm chemistry encoding error-correction finance machine-learning optimization primitive sample-based simulation variational

In other sections: integration resource-estimation tutorial usage

Hamiltonian Simulation with Suzuki–Trotter (Rabi oscillation)

Trotter–Suzuki product formulas on the Rabi model with empirical convergence orders.

Hybrid Quantum Neural Network (HQNN)

End-to-end CNN + quantum variational circuit on Fashion-MNIST with the parameter shift rule.

Möttönen Amplitude Encoding

Learn how to use Möttönen amplitude encoding in Qamomile to prepare arbitrary quantum states. This tutorial introduces state preparation based on amplitude_encoding and mottonen_amplitude_encoding.

Option Pricing with Quantum Amplitude Estimation

An example of option pricing with quantum amplitude estimation (QAE) in Qamomile. It encodes stock-price data into amplitudes, implements amplitude estimation with the Grover operator, and runs a numerical option-pricing simulation.

Multidimensional QFT for Estimating Nanosheet Material Properties

This example implements a multidimensional quantum Fourier transform with Qamomile. For nanosheet material characterization, it uses a multidimensional QFT with data preprocessing to run a nanosheet simulation.

Pauli Correlation Encoding

An example of using Pauli Correlation Encoding (PCE) with Qamomile. It solves MaxCut for a 20-node graph using 3-qubit PCE and compares the result with the exact solution.

QAOA for Graph Partitioning

End-to-end optimization example using OMMX, JijModeling, and QAOAConverter.

QAOA for MaxCut: Building the Circuit from Scratch

Build a QAOA circuit from scratch to solve MaxCut, then compare with the built-in qaoa_state.

Quantum-enhanced Markov chain Monte Carlo

Implement Quantum-enhanced MCMC using Trotter-decomposed time evolution.

Quantum Selected Configuration Interaction (QSCI)

Sample bitstrings from a quantum state, build an effective Hamiltonian, and diagonalize it classically with a strict variational guarantee.

Introduction to Quantum Error Correction

3-qubit bit-flip/phase-flip codes, Shor's 9-qubit code, and stabilizers.

Quantum Kernel Classification

Use quantum feature maps and kernel methods for classification on the make_circles dataset.

Stabilizer Formalism and the Steane Code

CSS construction, syndrome decoding, and transversal Hadamard.

Variational Quantum Eigensolver (VQE) for the Hydrogen Molecule

Build a molecular Hamiltonian with OpenFermion and find the ground state energy via VQE.